Search a number
-
+
136743984 = 24331321873
BaseRepresentation
bin10000010011010…
…00110000110000
3100112022022111000
420021220300300
5240001301414
621322522000
73250206336
oct1011506060
9315268430
10136743984
1170208863
1239966300
132243a300
1414237b56
15c011b09
hex8268c30

136743984 has 120 divisors (see below), whose sum is σ = 425248080. Its totient is φ = 42052608.

The previous prime is 136743977. The next prime is 136744031. The reversal of 136743984 is 489347631.

136743984 is a `hidden beast` number, since 136 + 7 + 439 + 84 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72072 + ... + 73944.

It is an arithmetic number, because the mean of its divisors is an integer number (3543734).

Almost surely, 2136743984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136743984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212624040).

136743984 is an abundant number, since it is smaller than the sum of its proper divisors (288504096).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

136743984 is a wasteful number, since it uses less digits than its factorization.

136743984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1916 (or 1891 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 136743984 is about 11693.7583351119. The cubic root of 136743984 is about 515.1923547018.

The spelling of 136743984 in words is "one hundred thirty-six million, seven hundred forty-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 169 208 216 234 312 338 351 432 468 507 624 676 702 936 1014 1352 1404 1521 1872 1873 2028 2704 2808 3042 3746 4056 4563 5616 5619 6084 7492 8112 9126 11238 12168 14984 16857 18252 22476 24336 24349 29968 33714 36504 44952 48698 50571 67428 73008 73047 89904 97396 101142 134856 146094 194792 202284 219141 269712 292188 316537 389584 404568 438282 584376 633074 657423 809136 876564 949611 1168752 1266148 1314846 1753128 1899222 2532296 2629692 2848833 3506256 3798444 5064592 5259384 5697666 7596888 8546499 10518768 11395332 15193776 17092998 22790664 34185996 45581328 68371992 136743984